Chapter 3 - Exponents, Polynomials and Functions - 3.2 Combining Functions - 3.2 Exercises - Page 244: 19

$5p^2$ has degree $2$; $4p$ has degree $1$; $-87$ has degree $0$; the polynomial has degree $2$.

The polynomial's degree is the same as the largest degree from any of the terms. $5p^2+4p-87$ $5p^2$ has degree $2$; $4p$ has degree $1$; $-87$ has degree $0$; the polynomial has degree $2$.